A cone of a radius 5cm is filled with water. If the water poured in a cylinder of radius 10cm, the height of the water rises 2cm, find the height of the cone.

Explanation

given that radius of cone `r=5cm`

radius of cylinder `R=10cm`

and height of water in cylinder`H=5+2=7cm`

since volume of water is same in botj vessel so

`(1/3)pi(r^2)h=pi(R^2)H`

`(1/3)pi(5^2)h=pi(10^2)7`

`h=84cm`